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On Multiparametric Analysis in Generalized Transportation Problems

  • Sanjeet Singh
  • Pankaj Gupta
  • Milan Vlach
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6784)

Abstract

In this paper, we provide the multiparametric sensitivity analysis of a generalized transportation problem whose objective function is the sum of linear and linear fractional function. We construct critical regions for simultaneous and independent perturbations in the objective function coefficients treating each parameter at its independent level of sensitivity. A numerical example is given to illustrate the multiparametric sensitivity analysis results. We also extend the sensitivity results to the three index transportation problem with planar as well as axial constraints.

Keywords

sensitivity analysis parametric analysis transportation problem fractional programming maximum volume region 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Sanjeet Singh
    • 1
  • Pankaj Gupta
    • 2
  • Milan Vlach
    • 3
  1. 1.Operations Management GroupIndian Institute of Management CalcuttaKolkataIndia
  2. 2.Department of Operational Research, Faculty of Mathematical SciencesUniversity of DelhiDelhiIndia
  3. 3.Hosei UniversityTokyoJapan

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